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mr_godi [17]
3 years ago
14

The mean of a normally distributed dataset is 12, and the standard deviation is 2.

Mathematics
2 answers:
madam [21]3 years ago
7 0
NormalCdf(-2,2,0,1)=.9545
95.45%
Greeley [361]3 years ago
3 0

Answer:

95.44% of the data lies between 8 and 16.

Step-by-step explanation:

Since, z score or standard score formula is,

z=\frac{x-\mu}{\sigma}

Where,

\mu = mean of the data,

\sigma = standard deviation,

Let X represents a data point,

So, we have to find out,

P( 8 < X < 16),

Since,

P(8 < X < 16)=P(\frac{8-\mu}{\sigma}< Z< \frac{16-\mu}{\sigma})

=P(\frac{8-12}{2}

=P(-2

=P(Z

=0.9772-0.0228  ( By the z-score table )

=0.9544

=95.44\%

Hence, 95.44% of the data lies between 8 and 16.

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